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1 ------------------------------------------------------------------------ |
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2 -- max.decTest -- decimal maximum -- |
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3 -- Copyright (c) IBM Corporation, 1981, 2007. All rights reserved. -- |
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4 ------------------------------------------------------------------------ |
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5 -- Please see the document "General Decimal Arithmetic Testcases" -- |
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6 -- at http://www2.hursley.ibm.com/decimal for the description of -- |
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7 -- these testcases. -- |
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8 -- -- |
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9 -- These testcases are experimental ('beta' versions), and they -- |
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10 -- may contain errors. They are offered on an as-is basis. In -- |
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11 -- particular, achieving the same results as the tests here is not -- |
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12 -- a guarantee that an implementation complies with any Standard -- |
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13 -- or specification. The tests are not exhaustive. -- |
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14 -- -- |
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15 -- Please send comments, suggestions, and corrections to the author: -- |
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16 -- Mike Cowlishaw, IBM Fellow -- |
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17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- |
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18 -- mfc@uk.ibm.com -- |
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19 ------------------------------------------------------------------------ |
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20 version: 2.57 |
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21 |
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22 -- we assume that base comparison is tested in compare.decTest, so |
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23 -- these mainly cover special cases and rounding |
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24 |
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25 extended: 1 |
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26 precision: 9 |
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27 rounding: half_up |
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28 maxExponent: 384 |
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29 minexponent: -383 |
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30 |
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31 -- sanity checks |
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32 maxx001 max -2 -2 -> -2 |
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33 maxx002 max -2 -1 -> -1 |
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34 maxx003 max -2 0 -> 0 |
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35 maxx004 max -2 1 -> 1 |
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36 maxx005 max -2 2 -> 2 |
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37 maxx006 max -1 -2 -> -1 |
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38 maxx007 max -1 -1 -> -1 |
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39 maxx008 max -1 0 -> 0 |
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40 maxx009 max -1 1 -> 1 |
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41 maxx010 max -1 2 -> 2 |
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42 maxx011 max 0 -2 -> 0 |
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43 maxx012 max 0 -1 -> 0 |
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44 maxx013 max 0 0 -> 0 |
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45 maxx014 max 0 1 -> 1 |
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46 maxx015 max 0 2 -> 2 |
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47 maxx016 max 1 -2 -> 1 |
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48 maxx017 max 1 -1 -> 1 |
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49 maxx018 max 1 0 -> 1 |
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50 maxx019 max 1 1 -> 1 |
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51 maxx020 max 1 2 -> 2 |
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52 maxx021 max 2 -2 -> 2 |
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53 maxx022 max 2 -1 -> 2 |
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54 maxx023 max 2 0 -> 2 |
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55 maxx025 max 2 1 -> 2 |
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56 maxx026 max 2 2 -> 2 |
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57 |
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58 -- extended zeros |
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59 maxx030 max 0 0 -> 0 |
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60 maxx031 max 0 -0 -> 0 |
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61 maxx032 max 0 -0.0 -> 0 |
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62 maxx033 max 0 0.0 -> 0 |
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63 maxx034 max -0 0 -> 0 -- note: -0 = 0, but 0 chosen |
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64 maxx035 max -0 -0 -> -0 |
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65 maxx036 max -0 -0.0 -> -0.0 |
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66 maxx037 max -0 0.0 -> 0.0 |
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67 maxx038 max 0.0 0 -> 0 |
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68 maxx039 max 0.0 -0 -> 0.0 |
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69 maxx040 max 0.0 -0.0 -> 0.0 |
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70 maxx041 max 0.0 0.0 -> 0.0 |
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71 maxx042 max -0.0 0 -> 0 |
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72 maxx043 max -0.0 -0 -> -0.0 |
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73 maxx044 max -0.0 -0.0 -> -0.0 |
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74 maxx045 max -0.0 0.0 -> 0.0 |
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75 |
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76 maxx050 max -0E1 0E1 -> 0E+1 |
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77 maxx051 max -0E2 0E2 -> 0E+2 |
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78 maxx052 max -0E2 0E1 -> 0E+1 |
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79 maxx053 max -0E1 0E2 -> 0E+2 |
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80 maxx054 max 0E1 -0E1 -> 0E+1 |
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81 maxx055 max 0E2 -0E2 -> 0E+2 |
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82 maxx056 max 0E2 -0E1 -> 0E+2 |
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83 maxx057 max 0E1 -0E2 -> 0E+1 |
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84 |
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85 maxx058 max 0E1 0E1 -> 0E+1 |
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86 maxx059 max 0E2 0E2 -> 0E+2 |
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87 maxx060 max 0E2 0E1 -> 0E+2 |
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88 maxx061 max 0E1 0E2 -> 0E+2 |
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89 maxx062 max -0E1 -0E1 -> -0E+1 |
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90 maxx063 max -0E2 -0E2 -> -0E+2 |
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91 maxx064 max -0E2 -0E1 -> -0E+1 |
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92 maxx065 max -0E1 -0E2 -> -0E+1 |
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93 |
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94 -- Specials |
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95 precision: 9 |
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96 maxx090 max Inf -Inf -> Infinity |
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97 maxx091 max Inf -1000 -> Infinity |
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98 maxx092 max Inf -1 -> Infinity |
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99 maxx093 max Inf -0 -> Infinity |
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100 maxx094 max Inf 0 -> Infinity |
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101 maxx095 max Inf 1 -> Infinity |
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102 maxx096 max Inf 1000 -> Infinity |
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103 maxx097 max Inf Inf -> Infinity |
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104 maxx098 max -1000 Inf -> Infinity |
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105 maxx099 max -Inf Inf -> Infinity |
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106 maxx100 max -1 Inf -> Infinity |
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107 maxx101 max -0 Inf -> Infinity |
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108 maxx102 max 0 Inf -> Infinity |
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109 maxx103 max 1 Inf -> Infinity |
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110 maxx104 max 1000 Inf -> Infinity |
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111 maxx105 max Inf Inf -> Infinity |
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112 |
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113 maxx120 max -Inf -Inf -> -Infinity |
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114 maxx121 max -Inf -1000 -> -1000 |
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115 maxx122 max -Inf -1 -> -1 |
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116 maxx123 max -Inf -0 -> -0 |
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117 maxx124 max -Inf 0 -> 0 |
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118 maxx125 max -Inf 1 -> 1 |
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119 maxx126 max -Inf 1000 -> 1000 |
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120 maxx127 max -Inf Inf -> Infinity |
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121 maxx128 max -Inf -Inf -> -Infinity |
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122 maxx129 max -1000 -Inf -> -1000 |
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123 maxx130 max -1 -Inf -> -1 |
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124 maxx131 max -0 -Inf -> -0 |
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125 maxx132 max 0 -Inf -> 0 |
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126 maxx133 max 1 -Inf -> 1 |
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127 maxx134 max 1000 -Inf -> 1000 |
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128 maxx135 max Inf -Inf -> Infinity |
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129 |
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130 -- 2004.08.02 754r chooses number over NaN in mixed cases |
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131 maxx141 max NaN -Inf -> -Infinity |
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132 maxx142 max NaN -1000 -> -1000 |
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133 maxx143 max NaN -1 -> -1 |
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134 maxx144 max NaN -0 -> -0 |
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135 maxx145 max NaN 0 -> 0 |
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136 maxx146 max NaN 1 -> 1 |
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137 maxx147 max NaN 1000 -> 1000 |
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138 maxx148 max NaN Inf -> Infinity |
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139 maxx149 max NaN NaN -> NaN |
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140 maxx150 max -Inf NaN -> -Infinity |
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141 maxx151 max -1000 NaN -> -1000 |
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142 maxx152 max -1 NaN -> -1 |
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143 maxx153 max -0 NaN -> -0 |
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144 maxx154 max 0 NaN -> 0 |
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145 maxx155 max 1 NaN -> 1 |
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146 maxx156 max 1000 NaN -> 1000 |
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147 maxx157 max Inf NaN -> Infinity |
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148 |
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149 maxx161 max sNaN -Inf -> NaN Invalid_operation |
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150 maxx162 max sNaN -1000 -> NaN Invalid_operation |
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151 maxx163 max sNaN -1 -> NaN Invalid_operation |
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152 maxx164 max sNaN -0 -> NaN Invalid_operation |
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153 maxx165 max sNaN 0 -> NaN Invalid_operation |
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154 maxx166 max sNaN 1 -> NaN Invalid_operation |
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155 maxx167 max sNaN 1000 -> NaN Invalid_operation |
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156 maxx168 max sNaN NaN -> NaN Invalid_operation |
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157 maxx169 max sNaN sNaN -> NaN Invalid_operation |
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158 maxx170 max NaN sNaN -> NaN Invalid_operation |
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159 maxx171 max -Inf sNaN -> NaN Invalid_operation |
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160 maxx172 max -1000 sNaN -> NaN Invalid_operation |
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161 maxx173 max -1 sNaN -> NaN Invalid_operation |
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162 maxx174 max -0 sNaN -> NaN Invalid_operation |
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163 maxx175 max 0 sNaN -> NaN Invalid_operation |
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164 maxx176 max 1 sNaN -> NaN Invalid_operation |
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165 maxx177 max 1000 sNaN -> NaN Invalid_operation |
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166 maxx178 max Inf sNaN -> NaN Invalid_operation |
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167 maxx179 max NaN sNaN -> NaN Invalid_operation |
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168 |
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169 -- propagating NaNs |
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170 maxx181 max NaN9 -Inf -> -Infinity |
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171 maxx182 max NaN8 9 -> 9 |
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172 maxx183 max -NaN7 Inf -> Infinity |
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173 |
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174 maxx184 max -NaN1 NaN11 -> -NaN1 |
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175 maxx185 max NaN2 NaN12 -> NaN2 |
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176 maxx186 max -NaN13 -NaN7 -> -NaN13 |
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177 maxx187 max NaN14 -NaN5 -> NaN14 |
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178 |
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179 maxx188 max -Inf NaN4 -> -Infinity |
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180 maxx189 max -9 -NaN3 -> -9 |
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181 maxx190 max Inf NaN2 -> Infinity |
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182 |
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183 maxx191 max sNaN99 -Inf -> NaN99 Invalid_operation |
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184 maxx192 max sNaN98 -1 -> NaN98 Invalid_operation |
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185 maxx193 max -sNaN97 NaN -> -NaN97 Invalid_operation |
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186 maxx194 max sNaN96 sNaN94 -> NaN96 Invalid_operation |
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187 maxx195 max NaN95 sNaN93 -> NaN93 Invalid_operation |
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188 maxx196 max -Inf sNaN92 -> NaN92 Invalid_operation |
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189 maxx197 max 0 sNaN91 -> NaN91 Invalid_operation |
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190 maxx198 max Inf -sNaN90 -> -NaN90 Invalid_operation |
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191 maxx199 max NaN sNaN89 -> NaN89 Invalid_operation |
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192 |
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193 -- rounding checks |
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194 maxexponent: 999 |
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195 minexponent: -999 |
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196 precision: 9 |
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197 maxx201 max 12345678000 1 -> 1.23456780E+10 Rounded |
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198 maxx202 max 1 12345678000 -> 1.23456780E+10 Rounded |
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199 maxx203 max 1234567800 1 -> 1.23456780E+9 Rounded |
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200 maxx204 max 1 1234567800 -> 1.23456780E+9 Rounded |
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201 maxx205 max 1234567890 1 -> 1.23456789E+9 Rounded |
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202 maxx206 max 1 1234567890 -> 1.23456789E+9 Rounded |
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203 maxx207 max 1234567891 1 -> 1.23456789E+9 Inexact Rounded |
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204 maxx208 max 1 1234567891 -> 1.23456789E+9 Inexact Rounded |
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205 maxx209 max 12345678901 1 -> 1.23456789E+10 Inexact Rounded |
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206 maxx210 max 1 12345678901 -> 1.23456789E+10 Inexact Rounded |
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207 maxx211 max 1234567896 1 -> 1.23456790E+9 Inexact Rounded |
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208 maxx212 max 1 1234567896 -> 1.23456790E+9 Inexact Rounded |
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209 maxx213 max -1234567891 1 -> 1 |
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210 maxx214 max 1 -1234567891 -> 1 |
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211 maxx215 max -12345678901 1 -> 1 |
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212 maxx216 max 1 -12345678901 -> 1 |
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213 maxx217 max -1234567896 1 -> 1 |
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214 maxx218 max 1 -1234567896 -> 1 |
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215 |
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216 precision: 15 |
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217 maxx221 max 12345678000 1 -> 12345678000 |
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218 maxx222 max 1 12345678000 -> 12345678000 |
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219 maxx223 max 1234567800 1 -> 1234567800 |
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220 maxx224 max 1 1234567800 -> 1234567800 |
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221 maxx225 max 1234567890 1 -> 1234567890 |
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222 maxx226 max 1 1234567890 -> 1234567890 |
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223 maxx227 max 1234567891 1 -> 1234567891 |
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224 maxx228 max 1 1234567891 -> 1234567891 |
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225 maxx229 max 12345678901 1 -> 12345678901 |
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226 maxx230 max 1 12345678901 -> 12345678901 |
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227 maxx231 max 1234567896 1 -> 1234567896 |
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228 maxx232 max 1 1234567896 -> 1234567896 |
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229 maxx233 max -1234567891 1 -> 1 |
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230 maxx234 max 1 -1234567891 -> 1 |
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231 maxx235 max -12345678901 1 -> 1 |
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232 maxx236 max 1 -12345678901 -> 1 |
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233 maxx237 max -1234567896 1 -> 1 |
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234 maxx238 max 1 -1234567896 -> 1 |
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235 |
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236 -- from examples |
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237 maxx280 max '3' '2' -> '3' |
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238 maxx281 max '-10' '3' -> '3' |
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239 maxx282 max '1.0' '1' -> '1' |
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240 maxx283 max '1' '1.0' -> '1' |
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241 maxx284 max '7' 'NaN' -> '7' |
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242 |
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243 -- overflow and underflow tests ... |
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244 maxExponent: 999999999 |
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245 minexponent: -999999999 |
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246 maxx330 max +1.23456789012345E-0 9E+999999999 -> 9E+999999999 |
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247 maxx331 max 9E+999999999 +1.23456789012345E-0 -> 9E+999999999 |
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248 maxx332 max +0.100 9E-999999999 -> 0.100 |
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249 maxx333 max 9E-999999999 +0.100 -> 0.100 |
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250 maxx335 max -1.23456789012345E-0 9E+999999999 -> 9E+999999999 |
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251 maxx336 max 9E+999999999 -1.23456789012345E-0 -> 9E+999999999 |
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252 maxx337 max -0.100 9E-999999999 -> 9E-999999999 |
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253 maxx338 max 9E-999999999 -0.100 -> 9E-999999999 |
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254 |
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255 maxx339 max 1e-599999999 1e-400000001 -> 1E-400000001 |
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256 maxx340 max 1e-599999999 1e-400000000 -> 1E-400000000 |
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257 maxx341 max 1e-600000000 1e-400000000 -> 1E-400000000 |
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258 maxx342 max 9e-999999998 0.01 -> 0.01 |
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259 maxx343 max 9e-999999998 0.1 -> 0.1 |
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260 maxx344 max 0.01 9e-999999998 -> 0.01 |
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261 maxx345 max 1e599999999 1e400000001 -> 1E+599999999 |
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262 maxx346 max 1e599999999 1e400000000 -> 1E+599999999 |
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263 maxx347 max 1e600000000 1e400000000 -> 1E+600000000 |
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264 maxx348 max 9e999999998 100 -> 9E+999999998 |
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265 maxx349 max 9e999999998 10 -> 9E+999999998 |
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266 maxx350 max 100 9e999999998 -> 9E+999999998 |
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267 -- signs |
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268 maxx351 max 1e+777777777 1e+411111111 -> 1E+777777777 |
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269 maxx352 max 1e+777777777 -1e+411111111 -> 1E+777777777 |
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270 maxx353 max -1e+777777777 1e+411111111 -> 1E+411111111 |
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271 maxx354 max -1e+777777777 -1e+411111111 -> -1E+411111111 |
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272 maxx355 max 1e-777777777 1e-411111111 -> 1E-411111111 |
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273 maxx356 max 1e-777777777 -1e-411111111 -> 1E-777777777 |
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274 maxx357 max -1e-777777777 1e-411111111 -> 1E-411111111 |
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275 maxx358 max -1e-777777777 -1e-411111111 -> -1E-777777777 |
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276 |
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277 -- expanded list from min/max 754r purple prose |
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278 -- [explicit tests for exponent ordering] |
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279 maxx401 max Inf 1.1 -> Infinity |
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280 maxx402 max 1.1 1 -> 1.1 |
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281 maxx403 max 1 1.0 -> 1 |
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282 maxx404 max 1.0 0.1 -> 1.0 |
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283 maxx405 max 0.1 0.10 -> 0.1 |
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284 maxx406 max 0.10 0.100 -> 0.10 |
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285 maxx407 max 0.10 0 -> 0.10 |
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286 maxx408 max 0 0.0 -> 0 |
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287 maxx409 max 0.0 -0 -> 0.0 |
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288 maxx410 max 0.0 -0.0 -> 0.0 |
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289 maxx411 max 0.00 -0.0 -> 0.00 |
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290 maxx412 max 0.0 -0.00 -> 0.0 |
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291 maxx413 max 0 -0.0 -> 0 |
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292 maxx414 max 0 -0 -> 0 |
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293 maxx415 max -0.0 -0 -> -0.0 |
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294 maxx416 max -0 -0.100 -> -0 |
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295 maxx417 max -0.100 -0.10 -> -0.100 |
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296 maxx418 max -0.10 -0.1 -> -0.10 |
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297 maxx419 max -0.1 -1.0 -> -0.1 |
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298 maxx420 max -1.0 -1 -> -1.0 |
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299 maxx421 max -1 -1.1 -> -1 |
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300 maxx423 max -1.1 -Inf -> -1.1 |
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301 -- same with operands reversed |
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302 maxx431 max 1.1 Inf -> Infinity |
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303 maxx432 max 1 1.1 -> 1.1 |
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304 maxx433 max 1.0 1 -> 1 |
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305 maxx434 max 0.1 1.0 -> 1.0 |
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306 maxx435 max 0.10 0.1 -> 0.1 |
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307 maxx436 max 0.100 0.10 -> 0.10 |
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308 maxx437 max 0 0.10 -> 0.10 |
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309 maxx438 max 0.0 0 -> 0 |
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310 maxx439 max -0 0.0 -> 0.0 |
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311 maxx440 max -0.0 0.0 -> 0.0 |
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312 maxx441 max -0.0 0.00 -> 0.00 |
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313 maxx442 max -0.00 0.0 -> 0.0 |
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314 maxx443 max -0.0 0 -> 0 |
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315 maxx444 max -0 0 -> 0 |
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316 maxx445 max -0 -0.0 -> -0.0 |
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317 maxx446 max -0.100 -0 -> -0 |
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318 maxx447 max -0.10 -0.100 -> -0.100 |
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319 maxx448 max -0.1 -0.10 -> -0.10 |
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320 maxx449 max -1.0 -0.1 -> -0.1 |
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321 maxx450 max -1 -1.0 -> -1.0 |
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322 maxx451 max -1.1 -1 -> -1 |
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323 maxx453 max -Inf -1.1 -> -1.1 |
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324 -- largies |
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325 maxx460 max 1000 1E+3 -> 1E+3 |
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326 maxx461 max 1E+3 1000 -> 1E+3 |
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327 maxx462 max 1000 -1E+3 -> 1000 |
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328 maxx463 max 1E+3 -1000 -> 1E+3 |
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329 maxx464 max -1000 1E+3 -> 1E+3 |
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330 maxx465 max -1E+3 1000 -> 1000 |
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331 maxx466 max -1000 -1E+3 -> -1000 |
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332 maxx467 max -1E+3 -1000 -> -1000 |
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333 |
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334 -- rounding (results treated as though plus) |
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335 maxexponent: 999999999 |
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336 minexponent: -999999999 |
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337 precision: 3 |
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338 |
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339 maxx470 max 1 .5 -> 1 |
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340 maxx471 max 10 5 -> 10 |
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341 maxx472 max 100 50 -> 100 |
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342 maxx473 max 1000 500 -> 1.00E+3 Rounded |
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343 maxx474 max 10000 5000 -> 1.00E+4 Rounded |
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344 maxx475 max 6 .5 -> 6 |
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345 maxx476 max 66 5 -> 66 |
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346 maxx477 max 666 50 -> 666 |
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347 maxx478 max 6666 500 -> 6.67E+3 Rounded Inexact |
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348 maxx479 max 66666 5000 -> 6.67E+4 Rounded Inexact |
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349 maxx480 max 33333 5000 -> 3.33E+4 Rounded Inexact |
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350 maxx481 max .5 1 -> 1 |
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351 maxx482 max .5 10 -> 10 |
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352 maxx483 max .5 100 -> 100 |
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353 maxx484 max .5 1000 -> 1.00E+3 Rounded |
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354 maxx485 max .5 10000 -> 1.00E+4 Rounded |
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355 maxx486 max .5 6 -> 6 |
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356 maxx487 max .5 66 -> 66 |
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357 maxx488 max .5 666 -> 666 |
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358 maxx489 max .5 6666 -> 6.67E+3 Rounded Inexact |
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359 maxx490 max .5 66666 -> 6.67E+4 Rounded Inexact |
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360 maxx491 max .5 33333 -> 3.33E+4 Rounded Inexact |
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361 |
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362 -- overflow tests |
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363 maxexponent: 999999999 |
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364 minexponent: -999999999 |
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365 precision: 3 |
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366 maxx500 max 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded |
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367 maxx501 max -9.999E+999999999 0 -> 0 |
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368 |
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369 -- subnormals and underflow |
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370 precision: 3 |
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371 maxexponent: 999 |
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372 minexponent: -999 |
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373 maxx510 max 1.00E-999 0 -> 1.00E-999 |
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374 maxx511 max 0.1E-999 0 -> 1E-1000 Subnormal |
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375 maxx512 max 0.10E-999 0 -> 1.0E-1000 Subnormal |
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376 maxx513 max 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded |
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377 maxx514 max 0.01E-999 0 -> 1E-1001 Subnormal |
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378 -- next is rounded to Nmin |
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379 maxx515 max 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow |
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380 maxx516 max 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow |
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381 maxx517 max 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow |
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382 maxx518 max 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped |
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383 maxx519 max 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped |
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384 maxx520 max 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped |
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385 |
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386 maxx530 max -1.00E-999 0 -> 0 |
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387 maxx531 max -0.1E-999 0 -> 0 |
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388 maxx532 max -0.10E-999 0 -> 0 |
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389 maxx533 max -0.100E-999 0 -> 0 |
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390 maxx534 max -0.01E-999 0 -> 0 |
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391 maxx535 max -0.999E-999 0 -> 0 |
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392 maxx536 max -0.099E-999 0 -> 0 |
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393 maxx537 max -0.009E-999 0 -> 0 |
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394 maxx538 max -0.001E-999 0 -> 0 |
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395 maxx539 max -0.0009E-999 0 -> 0 |
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396 maxx540 max -0.0001E-999 0 -> 0 |
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397 |
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398 -- misalignment traps for little-endian |
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399 precision: 9 |
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400 maxx551 max 1.0 0.1 -> 1.0 |
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401 maxx552 max 0.1 1.0 -> 1.0 |
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402 maxx553 max 10.0 0.1 -> 10.0 |
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403 maxx554 max 0.1 10.0 -> 10.0 |
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404 maxx555 max 100 1.0 -> 100 |
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405 maxx556 max 1.0 100 -> 100 |
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406 maxx557 max 1000 10.0 -> 1000 |
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407 maxx558 max 10.0 1000 -> 1000 |
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408 maxx559 max 10000 100.0 -> 10000 |
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409 maxx560 max 100.0 10000 -> 10000 |
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410 maxx661 max 100000 1000.0 -> 100000 |
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411 maxx662 max 1000.0 100000 -> 100000 |
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412 maxx663 max 1000000 10000.0 -> 1000000 |
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413 maxx664 max 10000.0 1000000 -> 1000000 |
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414 |
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415 -- payload decapitate |
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416 precision: 5 |
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417 maxx670 max 11 -sNaN12345678901 -> -NaN78901 Invalid_operation |
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418 |
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419 -- Null tests |
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420 maxx900 max 10 # -> NaN Invalid_operation |
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421 maxx901 max # 10 -> NaN Invalid_operation |
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422 |
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423 |
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424 |